Singular moduli that are algebraic units

Philipp Habegger

doi:10.2140/ant.2015.9.1515

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Home > Journals > Algebra Number Theory > Volume 9 > Issue 7 > Article

2015 Singular moduli that are algebraic units

Philipp Habegger

Algebra Number Theory 9(7): 1515-1524 (2015). DOI: 10.2140/ant.2015.9.1515

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Abstract

We prove that only finitely many $j$ -invariants of elliptic curves with complex multiplication are algebraic units. A rephrased and generalized version of this result resembles Siegel’s theorem on integral points of algebraic curves.